arXiv Open Access 2026

Embeddable partial groups

Philip Hackney Justin Lynd Edoardo Salati

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Abstrak

We record a folklore theorem that says a partial group embeds in a group if and only if each word has at most one possible multiplication, regardless of choice of parenthesization. We further investigate the partial groups which are exemplars of non-embeddability. Finally we show that a partial groupoid embeds in a groupoid if and only if its reduction embeds in a group.

Topik & Kata Kunci

math.GR math.AT math.CT

Penulis (3)

Philip Hackney

Justin Lynd

Edoardo Salati

Format Sitasi

APA MLA BibTeX

Hackney, P., Lynd, J., Salati, E. (2026). Embeddable partial groups. https://arxiv.org/abs/2601.19772

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Informasi Jurnal

Tahun Terbit: 2026
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓